Linear equation

Steps to solve equation

The math behind the solution

x + 4 = 1

The first step is to get "x" on one side of  the equation by subtracting 4 from both sides:

x + 4 - 4 = 1 - 4

x = -3

Linear equation

Steps to solve

The math behind the solution

3x - 5 = 10

The first step is to get "x" to one side of the equation by adding 5 to both sides:

3x - 5 + 5 = 10 + 5

3x = 15

The second step is to divide both sides by 3 to get x by itself:

3x / 3 = 15 / 3
x = 5

Check your work with the original equation:

(3 * 5) - 5 = 10
15 - 5 = 10

     10 = 10

Linear equation

Steps to solve

The math behind the solution

3x + 5 = -10

The first step is to get "x" to one side of the equation by subtracting 5 from both sides:

3x + 5 - 5 = -10 - 5

3x = -15

Second step is to divide both sides by 3 to get x by itself:

3x / 3 = -15 / 3
x = -5

Check your work with the original equation:

(3 * -5) + 5 = -10
-15 + 5 = -10

     -10 = -10

Linear equation

Steps to solve

The math behind the solution

2x - 2y = 4

The first step is to get "x" on one side of the equation by adding 2y to both sides:

2x - 2y + 2y = 4 + 2y
2x = 4 + 2y

Second step is to divide both sides by 2 to get x by itself:

2x / 2 = (4 + 2y) / 2
x = 2 + y

Check your work with the original equation:

2 * (2 + y) - 2y = 4
4 + 2y - 2y = 4
4= 4